Regge Trajectories by 0-Brane Matrix Dynamics
High Energy Physics - Theory
2016-01-11 v2 High Energy Physics - Phenomenology
Quantum Physics
Abstract
The energy spectrum of two 0-branes for fixed angular momentum in 2+1 dimensions is calculated by the Rayleigh-Ritz method. The basis function used for each angular momentum consists of 80 eigenstates of the harmonic oscillator problem on the corresponding space. It is seen that the spectrum exhibits a definite linear Regge trajectory behavior. It is argued how this behavior supports the picture by which the bound-states of quarks and QCD-strings are governed by the quantum mechanics of matrix coordinates.
Cite
@article{arxiv.1506.02961,
title = {Regge Trajectories by 0-Brane Matrix Dynamics},
author = {Amir H. Fatollahi},
journal= {arXiv preprint arXiv:1506.02961},
year = {2016}
}
Comments
v1: LaTeX, 13 pages, 2 figs, 1 tab; v2: powers of l_s in eqs. 1 and 5 are fixed. Presented with different title in 17th "International Conference on Geometry, Integrability and Quantization", Varna, June 5-10, 2015